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Finding the Third Proportional to 177,821 and 272,671

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Solution

The third proportional to 177,821 and 272,671 is: 418,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,821 : 272,671 = 272,671 : x
  2. Step 2: Convert to fraction form
    177,821/272,671 = 272,671/x
  3. Step 3: Cross multiply
    177,821x = 272,671 × 272,671
  4. Step 4: Simplify right side
    177,821x = 74,349,474,241
  5. Step 5: Solve for x
    x = 74,349,474,241/177,821
  6. Step 6: Final answer
    x = 418,114.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.